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Finding the Fourth Proportional to 3,746.62, 5,582.16 and 3,693.16

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Solution

The fourth proportional to 3,746.62, 5,582.16 and 3,693.16 is: 5,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.62 : 5,582.16 = 3,693.16 : x
  2. Step 2: Convert to fraction form
    3,746.62/5,582.16 = 3,693.16/x
  3. Step 3: Cross multiply
    3,746.62x = 5,582.16 × 3,693.16
  4. Step 4: Simplify right side
    3,746.62x = 20,615,810.03
  5. Step 5: Solve for x
    x = 20,615,810.03/3,746.62
  6. Step 6: Final answer
    x = 5,502.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.